Alvin is 12 years younger than Elga. The sum of their ages is 60 . What is Elgas age?

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Alvin is 12 years younger than Elga. The sum of their ages is 60 . What is Elgas age?

Let a be Alvin's age and e be Elga's age. We have the following equations:

1. a = e - 12
2. a + e = 60

Plugging in (1) to (2), we get:
(e - 12) + e = 60

Grouping like terms:
2e - 12 = 60

Add 12 to each side:
2e = 72

Divide each side by 2
e = 36